Derivative of 1/x²

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1 
--
 2
x

$$\frac{1}{x^{2}}$$

1/(x^2)

Detail solution

Let $u = x^{2}$ .
Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
Then, apply the chain rule. Multiply by $\frac{d}{d x} x^{2}$ :
1. Apply the power rule: $x^{2}$ goes to $2 x$
The result of the chain rule is:

$- \frac{2}{x^{3}}$

The answer is:

$- \frac{2}{x^{3}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-2  
----
   2
x*x

$$- \frac{2}{x x^{2}}$$

Simplify

The second derivative [src]

6 
--
 4
x

$$\frac{6}{x^{4}}$$

Simplify

The third derivative [src]

-24 
----
  5 
 x

$$- \frac{24}{x^{5}}$$

Simplify

The graph